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0:53
Facebook
Science.sbmedia
When you rotate a cube in three-dimensional space, its shadow on a flat surface looks like a square, changing and deforming as the cube turns. That shadow isn’t the cube
Science.sbmedia. Science.sbmedia · Original audio. When you rotate a cube in three-dimensional space, its shadow on a flat surface looks like a square, changing and deforming as the cube turns. That shadow isn’t the cube itself, but a 2D projection of it. Now imagine doing the same with a 4-dimensional cube, also known as a tesseract. When ...
56.1K views
4 months ago
4D Cube Animation
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Tesseract Projection: a shadow of the 4-dimensional analogue to the cube, also called a hypercube or 8-cell. A tesseract(4D) is to a cube(3D) as a cube is to a square(2D). This piece of mathematical art is CNC machined from a solid piece of aluminum and anodized black- a representation, including perspective, of one possible shadow a hypercube could cast into 3D space. Multidimensional mathematics are often used in the formulations of physics, and visualizations such as this one help give insigh
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Tech Hunger on Instagram: "Okay, so what you’re seeing here is called a tesseract, also known as a 4D hypercube. Just like a square becomes a cube in 3D, a cube becomes a tesseract in the 4th dimension. Now obviously, we can’t see 4D objects directly. So this structure is actually a 3D projection of a 4D shape kind of like how a cube casts a 2D shadow. This mechanical model moves to help us visualize how a tesseract would rotate in higher dimensions. Basically… this is what a 4D cube looks like
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